Seminar of the International Laboratory for Mirror Symmetry and Automorphic Forms. Speaker: Chris Brav (SIMIS)
As a part of "International Academic Cooperation of HSE University'' project "Geometry and Physics"
11.11.2024 and 13.11.2024
Speaker: Chris Brav (SIMIS)
Talk: Beilinson-Parshin adeles via solid algebraic geometry»
Abstract: We give an introduction to solid algebraic geometry, in the sense of Clausen-Scholze, a refinement of classical algebraic geometry built on spectra of solid rings, a certain category of “topological” rings including classical adic-like topological algebras. We show that the additional locality afforded by working with a larger collection of test spectra leads to a new construction of adelic decompositions of quasi-coherent sheaves, in the form of Beilinson-Parshin. This is joint work Grigory Konovalov.
Room 306, 18:00